Vol. 77, No. 1, 1978

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ISSN: 0030-8730
A homeomorphism classification of wildly imbedded two-spheres in S3

Fred Rex Sinal

Vol. 77 (1978), No. 1, 255–271
Abstract

If a two-manifold M is wildly imbedded S3, it gives rise to a pair of noncompact three-manifolds of a special type. This type is considered in detail and a homeomorphism classification theorem for it is derived. This result is then used to decide whether there is a homeomorphism of S3 to itself, which takes M onto another, given two-manifold.

Mathematical Subject Classification 2000
Primary: 57N12
Secondary: 57M30, 57N40
Milestones
Received: 11 May 1977
Revised: 19 October 1977
Published: 1 July 1978
Authors
Fred Rex Sinal